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11341680 = 2435743157
BaseRepresentation
bin101011010000…
…111101110000
3210100012212020
4223100331300
510400413210
61043031440
7165255060
oct53207560
923305766
1011341680
116447199
12396b580
13247146c
1417133a0
15ee0770
hexad0f70

11341680 has 160 divisors (see below), whose sum is σ = 41378304. Its totient is φ = 2515968.

The previous prime is 11341661. The next prime is 11341699. The reversal of 11341680 is 8614311.

11341680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11341661) and next prime (11341699).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11341680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72162 + ... + 72318.

Almost surely, 211341680 is an apocalyptic number.

11341680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20689152).

11341680 is an abundant number, since it is smaller than the sum of its proper divisors (30036624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11341680 is a wasteful number, since it uses less digits than its factorization.

11341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11341680 is about 3367.7410826844. The cubic root of 11341680 is about 224.6772656945.

Adding to 11341680 its reverse (8614311), we get a palindrome (19955991).

It can be divided in two parts, 11341 and 680, that added together give a palindrome (12021).

The spelling of 11341680 in words is "eleven million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 157 168 172 210 215 240 258 280 301 314 336 344 420 430 471 516 560 602 628 645 688 785 840 860 903 942 1032 1099 1204 1256 1290 1505 1570 1680 1720 1806 1884 2064 2198 2355 2408 2512 2580 3010 3140 3297 3440 3612 3768 4396 4515 4710 4816 5160 5495 6020 6280 6594 6751 7224 7536 8792 9030 9420 10320 10990 12040 12560 13188 13502 14448 16485 17584 18060 18840 20253 21980 24080 26376 27004 32970 33755 36120 37680 40506 43960 47257 52752 54008 65940 67510 72240 81012 87920 94514 101265 108016 131880 135020 141771 162024 189028 202530 236285 263760 270040 283542 324048 378056 405060 472570 540080 567084 708855 756112 810120 945140 1134168 1417710 1620240 1890280 2268336 2835420 3780560 5670840 11341680